TECHNICAL NOTES
Sep 1, 1983

Shear Effect in Beam Stiffness Matrix

Publication: Journal of Structural Engineering
Volume 109, Issue 9

Abstract

Formulation of stiffness matrix, consistent geometric stiffness matrix and consistent mass matrix for a beam element, including shear effect by coupling transverse and shear angular displacement field is presented.

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References

1.
Archer, J. S., “Consistent Matrix Formulation for Structural Analysis Using Finite‐Element Techniques,” American Institute of Aeronautics and Astronautics Journal, Vol. 3, No. 10, 1965, p. 1910.
2.
Davis, R., Henshell, R., and Warburton, G. B., “A Timoshenko Beam Element,” Journal of Sound and Vibration, Vol. 22, No. 4, 1972, pp. 475–487.
3.
Gallagher, R. H., Finite Element Analysis—Fundamentals, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1975.
4.
Mazilu, P., Statics of Structures, Vol. 2, Ed. Tehnica, Bucharest, Romania, 1959 (in Romanian).
5.
Przemienieski, J. S., Theory of Matrix Structural Analysis, McGraw‐Hill Book Co., New York, N.Y., 1968.
6.
Severn, R. T., “Inclusion of Shear Deflection in the Stiffness Matrix for a Beam Element,” Journal of Strain Analysis, Vol. 5, No. 4, 1970.
7.
Timoshenko, S. P., Vibration Problems in Engineering, 3rd ed., Van Nostrand, New York, N.Y., 1955.
8.
Tong, P., “New Displacement Hybrid Finite Element Models for Solid Continua,” International Journal for Numerical Methods in Engineering, Vol. 2, No. 1, 1970, pp. 73–83.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 9September 1983
Pages: 2216 - 2221

History

Published online: Sep 1, 1983
Published in print: Sep 1983

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Authors

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Gelu Onu
Dr. Engr., Design Inst. for Air, Road and Water Transports, Ministry of Transport and Communications, Bucharest, Romania

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